# Educational Exercise: Computing Sine and Cosine Using the Reference Angle## Problem Statement:Without using a calculator, compute the sine and cosine of 120° by using the reference angle.## Steps to Solve:### 1. Determine the Reference Angle`What is the reference angle? ______ degrees.`### 2. Identify the Quadrant`In what quadrant is this angle? (answer 1, 2, 3, or 4) ______.`### 3. Compute Sine and Cosine`sin(120°) = ______``cos(120°) = ______`*(Type sqrt(2) for √2 and sqrt(3) for √3.)*---**Additional Help:**- [Watch a Video](#)---### Graphs/Diagrams Explanation:There are no graphs or diagrams provided in this problem. The exercise focuses on determining the reference angle and identifying the quadrant in order to find the sine and cosine values manually.### Detailed Steps for Solution:1. **Reference Angle Calculation:** - Reference angle is the smallest angle between the terminal side of the given angle and the x-axis. For 120°, since it is in the second quadrant, the reference angle would be calculated as: \[ 180° - 120° = 60° \]2. **Identifying the Quadrant:** - The angle 120° lies in the second quadrant.3. **Computing Sine and Cosine:** - In the second quadrant: - Sine is positive, - Cosine is negative. - Using the reference angle of 60°: \[ \sin(120°) = \sin(60°) = \sqrt{3}/2 \] \[ \cos(120°) = -\cos(60°) = -1/2 \]These steps guide you through manually computing trigonometric values using reference angles, which is a fundamental technique in trigonometry.

Name: # Educational Exercise: Computing Sine and Cosine Using the Reference
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: # Educational Exercise: Computing Sine and Cosine Using the Reference Angle## Problem Statement:Without using a calculator, compute the sine and cosine of 120° by using the reference angle.## Steps to Solve:### 1. Determine the Reference Angle`What